• Corpus ID: 224713426

# Super Cartan geometry and the super Ashtekar connection

@article{Eder2020SuperCG,
title={Super Cartan geometry and the super Ashtekar connection},
author={Konstantin Eder},
journal={arXiv: General Relativity and Quantum Cosmology},
year={2020}
}
• K. Eder
• Published 19 October 2020
• Physics
• arXiv: General Relativity and Quantum Cosmology
This work is devoted to the geometric approach to supergravity. More precisely, we interpret N = 1 supergravity as a super Cartan geometry which provides a link between supergravity and super Yang-Mills theory. To this end, we first review important aspects of the theory of supermanifolds and we establish a link between various different approaches. We will then use this gauge-theoretic interpretation and the methods of loop quantum gravity to canonically quantize this theory which preserves…
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In this paper, the classical and quantum theory of $\mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical
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